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Titlebook: Mathematical Aspects of Multi–Porosity Continua; Brian Straughan Textbook 2017 Springer International Publishing AG 2017 Double Porosity.T

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书目名称Mathematical Aspects of Multi–Porosity Continua
编辑Brian Straughan
视频video
概述Presents new analyses of nonlinear waves.Examples provided at the end of every chapter.Provides new models, including second sound.Includes an extensive bibliography
丛书名称Advances in Mechanics and Mathematics
图书封面Titlebook: Mathematical Aspects of Multi–Porosity Continua;  Brian Straughan Textbook 2017 Springer International Publishing AG 2017 Double Porosity.T
描述.This book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. For example, a double porosity material has pores on a macro scale, but additionally there are cracks or fissures in the solid skeleton. The actual body is allowed to deform and thus the underlying theory is one of elasticity. Various different descriptions are reviewed..Chapter 1 introduces the classical linear theory of elastodynamics together with uniqueness and continuous dependence results. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement. Chapter 4 compares various aspects of the pressure-displacement and voids-displacement theories via uniqueness studies and wave motion analysis. Mathematical analyses of double and triple porosity materials are included concentrating on uniqueness and stability studies in chapters 5 to 7. In chapters 8 and 9 the emphasis is on wave motion in double porosity materials with special attention paid to nonlinear waves. The final chapter embraces a novel area where an elastic body with a double porosity structure
出版日期Textbook 2017
关键词Double Porosity; Triple Porosity; Elasticity; Continuous Dependence; Waves; Second Sound; Continuum Mechan
版次1
doihttps://doi.org/10.1007/978-3-319-70172-1
isbn_softcover978-3-319-88895-8
isbn_ebook978-3-319-70172-1Series ISSN 1571-8689 Series E-ISSN 1876-9896
issn_series 1571-8689
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Continuous Dependence in Multi - Porosity Elasticity,We commence this chapter with an analysis of continuous dependence upon the initial data for the isothermal triple porosity system (2.44) and we require only the symmetry conditions (6.1) for the elastic coefficients ai jkh.
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Waves in Double Porosity Elasticity,Rayleigh waves and Love waves have long been used as an important tool in geophysical problems employing linear elasticity theory. Rayleigh waves are studied using the Berryman & Wang [? ] double porosity theory presented in section 2.2, by Dai et al. [? ]. Dai et al.
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